A modification to geographically weighted regression

Table 8 Average variances and biases of \(\beta_{ 0}\) and \(\beta_{1}\) on a hill-side surface (single-type)

S/N of \(\beta_{ 0}\)	OLS		Basic GWR		Local linear		CGWR
S/N of \(\beta_{ 0}\)	1	5	1	5	1	5	1	5
(i) \(\beta_{ 0}\)
Conditional on S/N of \(\beta_{1}\) = 1
Variance	0.008	0.008	0.031	0.060	0.044	0.053	0.026	0.040
Bias	0.028	0.702	0.003	0.033	0.002	0.033	0.002	0.009
Conditional on S/N of \(\beta_{1}\) = 5
Variance	0.009	0.008	0.053	0.080	0.048	0.061	0.025	0.046
Bias	0.027	0.703	0.003	0.042	0.003	0.041	0.001	0.008
(ii) \(\beta_{1}\)
Variance	0.023	0.021	0.090	0.183	0.115	0.178	0.054	0.084
Bias	0.034	0.129	0.013	0.107	0.007	0.031	0.004	0.009
Conditional on S/N of \(\beta_{1}\) = 5
Variance	0.024	0.022	0.168	0.239	0.159	0.192	0.110	0.106
Bias	0.068	0.811	0.049	0.179	0.045	0.097	0.013	0.033

ISSN: 1476-072X